Scott Brown will appear at another GOP function in New Hampshire on Monday night, continuing to fan flames that he might move there to run for Senate in 2014, even though the possibility of that happening looks increasingly remote.

The incumbent, Democratic Sen. Jeanne Shaheen, sent two emails ahead of the Sept. 30, third-quarter deadline trying to raise money off a possible Brown challenge.

Asked whether he’ll run, Brown emailed POLITICO to criticize Shaheen for trying to cash in on his visit.

“I have been traveling to all parts of the country helping good people get elected,” he wrote from his iPhone Sunday afternoon. “Sen shaheen should spend her taxpayer paid time focusing on working to avoid a govt shutdown and not obsessing about my help of candidates who oppose Obamacare and of which she was the deciding vote, thus hurting businesses and individuals in NH and throughout the country.”

Ten national and state operatives plugged in to New Hampshire politics said it’s unlikely the former Massachusetts senator will ultimately jump into the race.

Brown has telegraphed in private conversations with fellow Republicans that he hasn’t made up his mind but suggested to those he has talked to that he probably won’t go through with it. Those watching him closely said he has not taken steps to reactivate his 2012 political team, raise money or even quietly reach out to grass-roots activists he would need.

A recent poll from the Democratic firm Public Policy Polling showed Shaheen leading Brown by 4 percentage points, 48 percent to 44 percent, the strongest of six potential opponents tested against her. Two polls from area colleges this spring showed her up double-digits. PPP pegged Shaheen’s approval rating at 49 percent, and President Barack Obama’s at 46 percent.

Republicans would like to expand the midterm map to compete in this purple state. They want a candidate who could capitalize on what they hope will become a favorable political environment during Obama’s sixth year in office, especially with the unpopularity of Obamacare.

Former Republican Rep. Charlie Bass, who lost his House seat last November, is now considering a challenge to the freshman Shaheen. He’s been talking to consultants and making high-level calls, sources said.

If Bass passes, Republicans warn that a candidate may not materialize until after Jan. 1. A former state senator, Jim Rubens, declared the week before last, but he’s not seen as a top-tier contender.

Brown lost to Sen. Elizabeth Warren, a Democrat, in November, despite high personal favorability in deep-blue Massachusetts.

He has family ties and owns property in the politically more amenable Granite State, much of which is in the Boston media market.

Brown decided in the winter to pass on running in the Massachusetts special election to fill the Senate vacancy opened by John Kerry’s appointment as secretary of state. He announced last month he will not run for governor of Massachusetts next year, clearing the way for Charlie Baker to be the Republican nominee.

Earlier that same week, he pronounced himself “curious” about running for president of the United States in 2016. He’s going back to the Hawkeye State in November to keynote a party dinner.

Several New Hampshire Republicans speculated on background that he’s seeking attention to drum up business for Nixon Peabody. He joined the Boston law firm, which has an office in Manchester, earlier this year. Brown also signed on as a Fox News contributor.

“Every day he keeps his name in the mix here is a day wasted for the [party],” said a prominent GOP operative with extensive experience in the state. “It’s time to move on and focus our efforts on real candidates and real prospects to ensure a successful 2014.”

Brown’s Monday event is from 7 p.m. to 9 p.m. in Hampstead, a town of 8,500 in the southeastern part of the state.

The Shaheen solicitations are a no-brainer from a direct mail perspective. She lacks other boogeymen to motivate donors, and Brown’s Monday foray allows her create a false sense of urgency.

Warren’s official chief of staff sent another fundraising email last week to help Shaheen that drew criticism from Massachusetts Republicans, and Sen. Kirsten Gillibrand (D-N.Y.) cited Brown in a fundraising email for her own PAC last Wednesday.

In Shaheen’s own Friday solicitation, she noted — in bold — that this is Brown’s “seventh meeting in six months with New Hampshire GOP insiders.”

“Brown and his funders spent $40 million attacking Sen. Warren,” she wrote. “If they run here, all signs point to a repeat of that kind of spending.”

“We cannot afford to underestimate him,” she added. “We have to show we’re ready for whatever they throw our way.”